The generator matrix

 1  0  0  0  1  1  1  1  2  1  1  1  0  2  4  1  1  2  1  1  0  6  4  1  1  0  4  1  1  1  6  4  6  2  1  0  6  2  1  1  0  6  1  1  1  1  1  2  4  4  6  1  0  0  1  0  2  0  4  6  2  1  1  1  1  1  4  1  1  1  1  1  1  0  1  2  2  1  1  6  1  1  1  1  1  1  6  0  1  1  1  1  1  2  0  2
 0  1  0  0  0  1  4  5  1  0  3  7  6  1  1  0  4  6  4  7  1  6  1  4  5  1  6  3  3  7  0  6  1  1  1  1  1  4  6  3  1  1  6  5  1  4  6  0  1  1  6  6  1  4  7  6  1  0  1  1  2  3  7  3  4  4  1  6  5  3  6  0  6  1  7  1  1  5  5  4  7  0  2  4  2  0  2  0  0  0  3  2  4  2  6  1
 0  0  1  0  0  4  1  5  5  1  1  2  1  0  1  2  7  1  0  7  3  2  5  3  6  4  1  7  4  1  1  1  0  7  1  3  6  2  3  6  4  3  2  4  0  7  4  1  1  6  1  1  2  1  6  1  6  2  7  2  1  1  4  3  7  2  0  4  2  3  0  5  1  1  0  4  0  4  7  0  3  4  6  6  0  4  1  1  5  6  5  5  6  1  6  0
 0  0  0  1  1  0  4  5  5  1  2  1  3  3  6  6  5  7  3  3  5  1  0  2  6  2  6  6  3  5  6  1  1  0  0  6  0  1  4  2  7  3  1  3  2  7  0  2  4  6  7  3  3  0  3  5  0  1  5  3  4  5  4  0  4  7  6  0  3  0  7  3  4  3  1  7  2  6  5  1  3  2  5  4  5  1  1  5  5  6  5  2  6  3  1  4
 0  0  0  0  2  2  2  2  4  6  2  2  0  4  0  2  2  4  2  6  4  0  4  6  6  4  4  6  2  6  4  0  0  0  6  0  0  6  0  4  2  6  4  0  0  0  4  2  6  2  6  4  2  6  4  6  6  6  6  0  2  4  0  0  4  6  6  6  0  4  0  6  0  4  0  2  0  6  4  2  2  2  2  4  6  4  0  2  4  4  0  0  6  0  2  4

generates a code of length 96 over Z8 who´s minimum homogenous weight is 87.

Homogenous weight enumerator: w(x)=1x^0+270x^87+390x^88+826x^89+768x^90+984x^91+1028x^92+1390x^93+1052x^94+1254x^95+1037x^96+1372x^97+932x^98+1164x^99+771x^100+882x^101+600x^102+530x^103+315x^104+346x^105+182x^106+124x^107+73x^108+38x^109+16x^110+18x^111+1x^112+8x^113+2x^114+8x^115+2x^117

The gray image is a code over GF(2) with n=384, k=14 and d=174.
This code was found by Heurico 1.11 in 11.6 seconds.